Curriculum Vitæ
Education
- Ph.D. in Mathematics with a minor in Computer Science, University of Arizona, 2019-2025.
- Qualifying Exam (Sep’21): Lang-Nishimura theorem
- Comprehensive Exam (Dec’23): Deuring Correspondence and Public Key Cryptography
- Dissertation (Aug’25): Supersingular Curves in Cryptography.
- M.Sc. (5-year integrated) in Mathematics, National Institute of Science Education and Research (Homi Bhabha National Institute), 2014-2019.
- Thesis (Apr’19): Sheaf, Cohomology and Geometry (Presentations: Part 1 and Part 2).
Work experience
| Duration | Organization | Role |
|---|---|---|
| Aug’24-May’25 | Department of Mathematics, University of Arizona | Instructor for Calculus I (Math 122B) |
| Jul’24 | Simons Laufer Mathematical Sciences Institute, Berkeley | Summer Research in Mathematics (Geometry of Endomorphism Rings) |
| May-Aug’24 | Microsoft Research Lab, Redmond | Cryptography Research Intern (Pairing-friendly cycles for SNARKs) |
| Aug’23-May’24 | Department of Mathematics, University of Arizona | Instructor for Calculus I (Math 122B) |
| Aug’22-May’23 | Department of Mathematics, University of Arizona | Instructor for Precalculus (Math 120R) and Group Project Mentor for Mathematical Modeling (Math 485) |
| Aug’21-May’22 | Department of Mathematics, University of Arizona | Instructor for Precalculus (Math 120R) |
| Jul-Aug’21 | Department of Mathematics, University of Arizona | TA for College Algebra (Math 112) |
| Aug’20-May’21 | Department of Mathematics, University of Arizona | TA for College Algebra (Math 112) and Graduate Algebra II (Math 511B) |
| Aug’19-Jul’20 | Department of Mathematics, University of Arizona | TA for College Algebra (Math 112) |
| Jun’18 | School of Mathematics, Tata Institute of Fundamental Research, Mumbai | Visiting Student Research Program (Arithmetic Zeta-function) |
| Dec’17 | Kerala School of Mathematics, KSCSTE, Kozhikode | Visiting Student (Modular Forms) |
| Jun-Jul’17 | Mathematics Research Group, The Institute of Mathematical Sciences, Chennai | Summer Research Programme (Prime Numbers) |
| Dec’16 | Mathematics Section, Harish-Chandra Research Institute, Allahabad | Visiting Student (Reciprocity Laws) |
| Jun-Jul’16 | Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore Centre | Summer Intern (Number Fields) |
| Dec’15 | Mathematics Section, Harish-Chandra Research Institute, Allahabad | Visiting Student (Diophantine Approximations) |
| Jul’15 | School of Liberal Studies, Dr. B. R. Ambedkar University Delhi, New Delhi | Summer Intern (Enigma Cryptanalysis) |
| May’15 | Bhaskaracharya Pratishthana, Pune | Summer Intern (Diophantine Equations) |
Awards and Scholarships
- Award for Excellence in Scholarship - College of Science, University of Arizona (April 16, 2024)
- GPSC Travel Grant - Graduate and Professional Student Council, University of Arizona (June 09, 2023) ~ USD 1500
- Outstanding Graduate Teaching Assistant Award - Department of Mathematics, University of Arizona (May 24, 2023)
- James R. Clay Graduate Travel Award - Department of Mathematics, University of Arizona (April 19, 2023) ~ USD 700
- Best M.Sc. Thesis Award in Mathematics - National Institute of Science Education and Research, Bhubaneswar (June 10, 2019).
- Junior Research Fellowship and Eligibility for Lectureship (Mathematical Sciences) - Council of Scientific and Industrial Research, New Delhi (Selected through the joint CSIR-UGC NET held on December 16, 2018) ~ All India Rank 18
- Innovation in Science Pursuit for Inspired Research (INSPIRE) Scholarship for Higher Education - Department of Science and Technology, Government of India (July 22, 2014 - May 20, 2019) ~ INR 380,000
Conferences and Workshops
- SIAM Mini-Conference 2025, University of Arizona, Tucson (May 02, 2025)
- Abelian Varieties, Southwest Center for Arithmetic Geometry (Arizona Winter School 2024), Tucson (March 02-06, 2024)
- Isogeny Graphs in Cryptography, BIRS/ICMS@Bristol (BIRS 5-Day Workshop/ICMS satellite event), Online participation (Aug 21 - 25, 2023)
- My presenation for Group C.
- Foundations and Frontiers of Probabilistic Proofs, ETH Zurich (SLMath SGS 2023), Zurich (Jul 17 - 28, 2023)
- Number Theory and Applications, Industrial University of Ho Chi Minh City (SEAMS school), Ho Chi Minh City (Jun 12 - 22, 2023)
- Applied Cryptography, Chulalongkorn University (IACR School), Bangkok (Jan 30 - Feb 03, 2023)
- Data Science Boot Camp, The Erdős Institute, Online event attended using Slack and Zoom (Aug 29 - Dec 09, 2022)
- Final project using NumPy, pandas, seaborn, and scikit-learn.
- Number Theory Informed by Computation, Park City Mathematics Institute (PCMI GSS 2022), Park City (Jul 17 - Aug 06, 2022)
- Lecture notes drafts/slides/problem-sets.
- Global Quantum Computing & Entrepreneurship Program, Womanium, Washington DC, Online event attended using Zoom, Discord and Canvas (Jul 10 - Aug 26, 2022)
- QBronze diploma for Grover’s algorithm programming in Qiskit.
- QSilver diploma for Shor’s algorithm programming in Cirq.
- Quantum Computing Hardware certificate for virtual lab tours
- Imagining a Better Online World: Exploring the Decentralized Web, a series of 6 workshops about the Decentralized Web organized by METRO, Internet Archive, DWeb, and Library Futures, Online event attended using Zoom (on the last Thursdays from Jan to Jun 2022)
- Big Data in Pure Mathematics, Boston University, Online event attended using Zoom and Zulip (May 21 - 22, 2022).
- PQNet: Post-Quantum Networks Workshop (Part 2), Cloudflare Research affiliated event with the Real World Crypto Symposium 2022 at Amsterdam, attended virtually using Zoom and Slack (Apr 19 - 20, 2022)
- PQNet: Post-Quantum Networks Workshop (Part 1), Cloudflare Research satellite event with the Isogeny-based cryptography school at University of Bristol, Online event attended using Zoom, Zulip and wonder.me (Sep 27 - 30, 2021)
- Sage/Oscar Days for Combinatorial Algebraic Geometry, Institute for Computational & Experimental Research in Mathematics (ICERM, Brown University), Online event attended using Zoom, Slack and Gather.town (Feb 15 - 19, 2021)
- International Conference on Class Groups of Number Fields and Related Topics, Harish-Chandra Research Institute, Allahabad (Sept 04 - 07, 2017)
- USERC Undergraduate Summer Workshop, Center for Excellence in Mathematical Sciences (Kumaon University), Almora (Jun 22 - Jul 04, 2015)
- 30th Annual Conference of Ramanujan Mathematical Society, IISER Mohali (RMS), Mohali (May 15 - 17, 2015)
- Some High Points of Undergraduate Mathematics Education, IISER Mohali (RMS), Mohali (May 14, 2015)
- National Science Camp (Vijyoshi 2014), Science City Auditorium (KVPY-INSPIRE-IISER Kolkata), Kolkata (Nov 10 - 12, 2014)
Recreational Mathematics Explorations
- DRP-NT: Supervised 7 undegraduate-level reading projects in number theory.
- Wrote and directed a 45-minute magic show called Math-O-Trick for the Open Day at NISER on April 08, 2017. It consisted of 11 mathematical card tricks performed by 7 students including me (Bachet 1, Bachet 2, Bachet 3).
- MathematiX Club, NISER - Bhubaneswar: Organized a total of 80 undergraduate seminars from Spring 2015 to Spring 2019 (57 SUMS, 12 SRS, 9 MathToys, and 2 OpenDay), and 8 of these were delivered by me (3 SUMS, 2 SRS, 1 MathToys, and 2 OpenDay). Most of the reading material that I gave my juniors to prepare for the SUMS was from the following book series: “MIR Little Mathematics Library”, “MAA Anneli Lax New Mathematical Library” and “AMS Mathematical World”.
- Cross Diagonal Cover Problem, a puzzle I posed in the form of blog posts on my wordpress blog Gaurish4Math during April-May 2016 (This puzzle was solved by Matthew Scroggs in July 2016).
- Pulsating Checkpoint Sequence (A264962), The On-Line Encyclopedia of Integer Sequences, November 2015. (I discovered this sequence while attempting to solve a puzzle posed by Pradeep Mutalik in “Quanta Magazine” in November 2015).